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Finding the Fourth Proportional to 340.20, 509.91 and 194.03

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Solution

The fourth proportional to 340.20, 509.91 and 194.03 is: 290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.20 : 509.91 = 194.03 : x
  2. Step 2: Convert to fraction form
    340.20/509.91 = 194.03/x
  3. Step 3: Cross multiply
    340.20x = 509.91 × 194.03
  4. Step 4: Simplify right side
    340.20x = 98,936.08
  5. Step 5: Solve for x
    x = 98,936.08/340.20
  6. Step 6: Final answer
    x = 290.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.